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Finding the Fourth Proportional to 197,159.97, 295,764.53 and 77,201.43

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Solution

The fourth proportional to 197,159.97, 295,764.53 and 77,201.43 is: 115,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,159.97 : 295,764.53 = 77,201.43 : x
  2. Step 2: Convert to fraction form
    197,159.97/295,764.53 = 77,201.43/x
  3. Step 3: Cross multiply
    197,159.97x = 295,764.53 × 77,201.43
  4. Step 4: Simplify right side
    197,159.97x = 22,833,444,273.27
  5. Step 5: Solve for x
    x = 22,833,444,273.27/197,159.97
  6. Step 6: Final answer
    x = 115,811.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.